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Find the axis of symmetry and vertex of y = ax² + bx + c

9th grade (Year 10 in England) · 16 questions · Common Core: HSF.IF.C.7.A, HSF.IF.B.4 · England: GCSE Higher Algebra

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  1. Question 1

    A company's daily cost (in hundreds) is C = 2n² − 12n + 48, where n is hundreds of items made. What is the minimum cost (in hundreds)?

    Answer

  2. Question 2

    Find the axis of symmetry of y = −x² − 6x − 2. Give the value of x.

    Answer

  3. Question 3

    Find the vertex of y = 2x² + 12x + 21. Type it like (2, −1).

    Answer

  4. Question 4

    A drone's height (m) after t seconds is h = −t² + 12t − 23. What is its maximum height?

    Answer

  5. Question 5

    Find the axis of symmetry of y = 2x² + 20x + 59. Give the value of x.

    Answer

  6. Question 6

    Find the vertex of y = 2x² − 12x + 10. Type it like (2, −1).

    Answer

  7. Question 7

    A company's daily cost (in hundreds) is C = n² − 2n + 7, where n is hundreds of items made. What is the minimum cost (in hundreds)?

    Answer

  8. Question 8

    Find the axis of symmetry of y = 2x² + 12x + 10. Give the value of x.

    Answer

  9. Question 9

    Find the vertex of y = 2x² − 16x + 31. Type it like (2, −1).

    Answer

  10. Question 10

    A drone's height (m) after t seconds is h = −2t² + 20t − 18. What is its maximum height?

    Answer

  11. Question 11

    Find the axis of symmetry of y = 3x² + 24x + 57. Give the value of x.

    Answer

  12. Question 12

    Find the vertex of y = −x² + 6x − 18. Type it like (2, −1).

    Answer

  13. Question 13

    A drone's height (m) after t seconds is h = −5t² + 60t − 169. What is its maximum height?

    Answer

  14. Question 14

    Find the axis of symmetry of y = x² − 4x + 7. Give the value of x.

    Answer

  15. Question 15

    Find the vertex of y = 3x² − 6x − 4. Type it like (2, −1).

    Answer

  16. Question 16

    A company's daily cost (in hundreds) is C = 2n² − 16n + 55, where n is hundreds of items made. What is the minimum cost (in hundreds)?

    Answer

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  1. 30
  2. -3
  3. (−3, 3)
  4. 13
  5. -5
  6. (3, −8)
  7. 6
  8. -3
  9. (4, −1)
  10. 32
  11. -4
  12. (3, −9)
  13. 11
  14. 2
  15. (1, −7)
  16. 23